A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials
Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and invest...
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/2820 |
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| author | Waseem Ahmad Khan Divesh Srivastava Kottakkaran Sooppy Nisar |
| author_facet | Waseem Ahmad Khan Divesh Srivastava Kottakkaran Sooppy Nisar |
| author_sort | Waseem Ahmad Khan |
| collection | DOAJ |
| description | Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. In this sequel, we modify the known generating functions of polynomials, due to both Milne-Thomson and Dere and Simsek, to introduce a new class of generalized polynomials and present some of their involved properties. As obvious special cases of the newly introduced polynomials, we also called power sum-Laguerre-Hermite polynomials and generalized Laguerre and poly-Bernoulli polynomials and present some of their involved identities and formulas. The results presented here, being very general, are pointed out to be specialized to yield a number of known and new identities involving relatively simple and familiar polynomials. |
| format | Article |
| id | doaj-art-6032dd668f9a4e9eb45de5cf5fdc067b |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-6032dd668f9a4e9eb45de5cf5fdc067b2025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125280510.18514/MMN.2024.2820A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomialsWaseem Ahmad KhanDivesh SrivastavaKottakkaran Sooppy NisarMotivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and extensions have recently been introduced and investigated. In this sequel, we modify the known generating functions of polynomials, due to both Milne-Thomson and Dere and Simsek, to introduce a new class of generalized polynomials and present some of their involved properties. As obvious special cases of the newly introduced polynomials, we also called power sum-Laguerre-Hermite polynomials and generalized Laguerre and poly-Bernoulli polynomials and present some of their involved identities and formulas. The results presented here, being very general, are pointed out to be specialized to yield a number of known and new identities involving relatively simple and familiar polynomials.http://mat76.mat.uni-miskolc.hu/mnotes/article/2820 |
| spellingShingle | Waseem Ahmad Khan Divesh Srivastava Kottakkaran Sooppy Nisar A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials Miskolc Mathematical Notes |
| title | A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials |
| title_full | A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials |
| title_fullStr | A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials |
| title_full_unstemmed | A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials |
| title_short | A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials |
| title_sort | new class of generalized polynomials associated with milne thomson based poly bernoulli polynomials |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/2820 |
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